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Finding the Fourth Proportional to 48,766.50, 73,149.78 and 11,830.50

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Solution

The fourth proportional to 48,766.50, 73,149.78 and 11,830.50 is: 17,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766.50 : 73,149.78 = 11,830.50 : x
  2. Step 2: Convert to fraction form
    48,766.50/73,149.78 = 11,830.50/x
  3. Step 3: Cross multiply
    48,766.50x = 73,149.78 × 11,830.50
  4. Step 4: Simplify right side
    48,766.50x = 865,398,472.29
  5. Step 5: Solve for x
    x = 865,398,472.29/48,766.50
  6. Step 6: Final answer
    x = 17,745.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.